Corecognition for iterated suspensions (Oisin Flynn Connolly)

Orateur : Oisin Flynn Connolly (Université Paris 13)

Lieu : salle des Séminaires M3

Résumé :

In this talk, I will present joint work with José Moreno-Fernández and Felix Wierstra on coalgebras in topological spaces. We will construct the comonad associated to a topological operad and we will sketch the proof of a recognition principle for iterated suspensions as coalgebras over the little cubes operad. These statements are Eckmann-Hilton dual to May's foundational results on iterated loop spaces.